Find the volume of the solid S whose base is the disk bounded by the circle x^2 + y^2 = r^2 and the parallel cross-sections perpendicular to the base are squares.

Q: Find the volume of the solid generated by revolving about the line x = 3 and the region is bounded…

A: To find the volume.

Q: Find the volume of the 'cover' that is bounded by 52 < x2 + y2 + z² < 7² and the upper cone z² = 4x2…

A: Given 52≤x2+y2+z2≤72 ,z2=4x2+4y2

Q: Find the volume of the solid bounded by y = x² +1 and the line y = -x + 3, revolved about the line y…

A: Given curve y = x2 and line y = -x +3

Q: Find the volume generated by revolving the area bounded by the lines x+y= 5, x = 0 and y = 0, about…

A: Formula  Given

Q: Find the volume of solid formed when the region bounded by y = x* and y = VE revolved about the are…

A: Consider the provided question, The region bounded by the given curve is shown as,

Q: Find the volume of the region bounded above by the sur-face z = 4 - y2 and below by the rectangle R:…

A:

Q: Find the volume of the solid obtaibed by rotating the region bounded by the given curves about the…

A: Given The curves are y = x3,   y = 0,  x = 2,  and rotation  about y = -3.   Formula :- Washer…

Q: Find the volume of the solid obtained by rotating the region bounded by y= 54x-6x2 and y= 0 about…

A: Given:           y=54x−6x2 and y=0  about y−axis.

Q: Find the volume generated by revolving the area bounded the lines x+y=6, x=0 and y=0, about x-axis.

A:

Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x – x³, x =…

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Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotated…

A: This question can be solved by first plotting the graphs to get the feel of the area enclosed.

Q: 42. y = x², y= 12 – x, x = 0, about y : 0, about y = 15 || -

A: We have to sketch the region first.

Q: Find the volume of the solid that is bounded by the surfaces z = = 92 - x2 - y2 in the first octant.…

A: 0≤ z ≤ 81-x2-y2z=0x2+y2=920≤y≤81-x20≤x≤9

Q: Calculate the volume of the wedge cut from the cylinder x2+y2=25 and from the z=3y and z=0 planes,…

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Q: Find the volume of the solid of revolution formed when the area of the region bounded by y3Dx2,…

A:

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 – x² and…

A: We use disc method to find volume

Q: Find the volume of the solid whose base is bounded by the circle x2 + y2 = 16 and whose cross…

A:

Q: find the volume of the solid generated by revolving the region bounded by y =sqrt x, y =x-2 in the…

A: According to the given information, it is required to find the volume of the solid generated by…

Q: Find the volume of the region under the surface z = corners (0, 0, 0), (6, 0, 0) and (0, 3, 0). 824…

A:

Q: Find the volume of the 'cover' that is bounded by 32 < x2 + y2 + z2 < 72 and the upper cone z2 = 5x2…

A: To find the volume of the solid that is bounded by 32≤x2+y2+z2≤72 and the upper cone z2=5x2+5y2.

Q: Find the volume of the region under the surface z and above the triangle in the xy-plane with 1+ x²…

A: We have to find the volume of the region under the surface.

Q: : Find the center of mass of a thin plate of constant density covering the region bonded by y = 25 -…

A:

Q: Find the volume of the region under the surface z = 4x* and above the triangle in the xy-plane with…

A: The solution follows as

Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y 1, and the…

A: Here, to find the volume of the solid whose base is the region in the first quadrant bounded by…

Q: Find the volume of solid generated by revolving the area bounded by y = 8x and y = 2x about the…

A:

Q: Find the volume of the solid form by the region bounded by the lines y = 16 – x, y = 3x + 12, and x…

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Q: Find the volume generated by revolving the area bounded by the lines x+ y= 5, x = 0 and y = 0, about…

A: Since you have asked multiple questions, we will do the first question for you. To get the solution…

Q: Find the volume of the solid generated by revolving the region bounded by curves and lines in y =2x,…

A:

Q: Find the volume of the solid generated when the area bounded by the given curves and lines is…

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: Find the volume generated by revolving the area bounded by the lines x+y = 5, x = 0 and y = 0, about…

A: Find the volume generated by revolving the area bounded by the lines x+y=5, x=0, y=0, about the…

Q: . Find the volume of the solid generated by revolving the region bounded by y = vx-1, y = 0 and the…

A:

Q: Find the volume of the solid generated of the area bounded by y 8x and y 2x, rotated about %3D y =…

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Q: Find the volume of the solid cut from the first octant by the surface z=4-x2-y.

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Q: Find the volume of the solid generated by revolving the region bounded by the curves y = 2x2 and y =…

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Q: Calculate the volume of the region bounded by the spherex + y² + z² = 9 from above and by the cone…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by  y = 35x − 7x2  about the…

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Q: find the volume of the solid obtained by rotating the region enclosed by the graphs aboutthe given…

A: We graph the region using a graphing calculator. Red is y=16-2x Blue is y=6 The shaded region is…

Q: Find the volume of the cone generated by revolving about the y-axis the area bounded by the line 2x…

A:

Q: Find the volume of the region under the surface z = and above the triangle in the xy-plane with 1+x2…

A:

Q: Find the volume of the solid formed by revolving the region bonded by the graphs of y = x + 2, y =…

A:

Q: Find the volume of the Solid generated by revolving the region bounded by y = -2x² and y = x² – 3 ,…

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Q: Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = 0, rotat…

A:

Q: Find the volume of the solid generated by revolving around the y- axis, the region bounded by 1 y =…

A:

Q: Find the volume of the region bounded above by the surfacez=9- y2 and below by the rectangle R:…

A:

Q: Find the volume of the cone generated by revolving about the y-axis the area bounded by the line 2x…

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Q: Find the volume of the solid generated when the area bounded by the given curves and lines is…

A:

Q: Find the volume of the region under the surface z = 9x and above the triangle in the xy-plane with…

A:

Q: Find the volume of the solid that is bounded by the surfaces z = 92 - x2 - y2 in the first octant.…

A:

Q: Find the volume of the solid generated by revolving about x-axis, the region enclosed by the curve y…

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